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3 years ago

The ages of the members of a volunteer group are shown below.

Mathematics

1 answer:

sesenic [268]3 years ago

5 0

Step-by-step explanation:

here it is. ...............

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Bruce's dumbbells weigh 11 pounds each. if bruce has 14 dumbbells, how many pounds do they weigh altogether?

Liono4ka [1.6K]

Bruce's dumbbells weigh 11 pounds each

Bruce has 14 dumbbells

we know that to calculate the total weigh of all the dumbbells we have to multiply weigh of each dumbbell with the total no of dumbbells

this is because by multiplying the no of dumbbells with weight of each one we get the altogether weight

so we will multiply weight of each dumbbell by total no. of dumbbells

by multiplying we get 14*11=156

therefore the altogether weight of dumbbells is 156 pounds.

3 0

3 years ago

Read 2 more answers

Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0

miss Akunina [59]

<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^2+y^2-2x+4y-11=0$

So, solving we have:

$x^2+y^2-2x+4y=11$

$(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16$

$(x^2-1)+(y^2-(-2))=16$

Now, we have that:

$h=1\\k=-2\\r=\sqrt{16}=4$

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0

4 years ago

Im learning about Recursive and Explicit in Pre-Calc, and it says to use the rule to write the first three terms of each sequenc

Tems11 [23]

Hello,

4. you have sequences defined by the first term and a recursive relation.

$a_1=3\\\\a_n=2a_{n-1} \ \ \text{ for n}> 1$

Take n = 2, it gives

$a_2=2a_1$ , right?

But you know $a_1=3$

so $a_2=2a_1=2*3=6$

This is the second term. You are asked to find the first three terms.

Now, let's take n = 3

$a_3=2a_2=2*6=12$

So the first three terms are 3, 6, 12.

$a_1=12\\\\a_2=\dfrac{1}{2}a_1+1=\dfrac{12}{2}+1=6+1=7 \\ \\a_3=\dfrac{1}{2}a_2+1=\dfrac{7}{2}+1=\dfrac{9}{2}$

$a_1=10\\ \\a_2=-3a_1=-3*10=-30\\\\a_3=-3a_2=-3*(-30)=90$

10.

$a_1=2\\\\a_2=-1\\\\a_3=a_2+a_1=-1+2=1\\\\a_4=a_3+a_2=1-1=0$

Do not hesitate if you have any question.

Thank you

8 0

4 years ago

Which is the graph of g(x) = 2x – 1 + 3?

ehidna [41]

The answer is b= 4 is going tho be the answer

4 0

3 years ago

Read 2 more answers

Which is a better deal, 3 avocados for $1.99 or 5 avocados or $3.50 show your work including the unit rate of 1 avocado in each

lana66690 [7]

Answer:

3 avacados for $1.99

Step-by-step explanation:

1.99/3=.66333333 or .66

3.50/5=.7 or .70

since 66 cents is cheaper than 70 cents its a better deal to get the three avacados rather than the 5

5 0

4 years ago

Read 2 more answers